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Paper Citation Record · LEDGER

The decomposition space perspective

As of 13 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 2 inbound Pith citation observations for arXiv:2409.19061.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2409.19061 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T21:26:08.878214Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:10:36.164247Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T19:37:44.451181Z

Reference resolution

47 of 47 outbound references displayed

  • verified exact10
  • verified fuzzy14
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 18b89d2f-d493-48ca-b339-5a1c71d81c93 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.848198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:cbe3d60925f93e1c01539754e2846e01a0f36433e20cb4ae4635fa04cd35bb65

Observation 414604c8-c9eb-49e1-af93-14b0b1d62ab3 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.905458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:5f1db514f70ffc68860bebbcc83556db09ae41749a2c303ed3185e3832fd9e80

Observation dd52d855-e520-4e1e-ac52-763108af6471 · outbound

This paper cites Bergner, Ang´ elica M.

The decomposition space perspective Bergner, Ang´ elica M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.898082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:867e6cee01ea9e3c9f38f710edddcdbf0935d6b750d32fa6b00bf95acbd7c95b

Observation 82c9ef01-6fe6-4f59-bea3-5d87e46af059 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.893912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:d05c174b71a2472e609d2cb5d633f0def55b20a2656d08283cecaf77dcfb1b80

Observation 13aa37a7-96a2-4340-8aec-8d8d7a3c070e · outbound

This paper cites Cyclic Segal Spaces.

The decomposition space perspective Cyclic Segal Spaces

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.623701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:7537903de6528ac3e024d54c4bc8a7f8bfe8918f35787beb008e4a340c7f5b4d

Observation b6663169-7f77-4e23-aa0b-9020375d0fe8 · outbound

This paper cites 50, Cambridge University Press, Cambridge, 1994, Basic category theory.

The decomposition space perspective 50, Cambridge University Press, Cambridge, 1994, Basic category theory

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.902047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:d3583a77450c6e024146e165787954b5a9c9a1cdcdb8654e72dd8145422bdb81

Observation ba34bc74-b94f-4d9d-bde3-22ee277d0453 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.909052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:092b9f8c4fe59a2a81b588b87b04a63ffbe36dc1fc6ea142679ee1696bf04ea1

Observation 3b9f93df-13f8-4d12-9aa4-80d2983316fe · outbound

This paper cites 2-Segal maps associated to a category with cofibrations.

The decomposition space perspective 2-Segal maps associated to a category with cofibrations

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.606909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:ad064e60549b22096ef11c32f0f55bbe4732a8a3ddaf28b8b258ab71aa2a2117

Observation 7e303e75-d24d-406e-9eb4-cf0354104007 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.912364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:20510dbc786dfdae63b504e9cd38dc94bf6dab965704a9cc9585ff5e12be638d

Observation d9dd6f7c-b572-404c-bbc4-fed80f46af68 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.928714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:2225e03a3f50956d86ec321ea655cea54f932a068f36322df5448535cca7ea08

Observation 14efb36b-a8c0-42c8-bc15-3f072f993551 · outbound

This paper cites Directed hereditary species and decomposition spaces.

The decomposition space perspective Directed hereditary species and decomposition spaces

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.600206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:73e9b60e2077064c55584728e04f9d46c7bb46cf8364639661cad5cc6876a610

Observation da3ab7af-77cd-40da-bfff-0cf5b82df909 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.871137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:b538bf491cd039e8b623603d8c5eb6666c1cea65634dc1c0a9c941f3a9437d1a

Observation 2bf46ea0-8d6e-4095-983f-fb46f0005c69 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.890720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:381def7552f07e339b67f2178ad9b2c1d5da4ba9b7d4f8ae67bbcad60beb4f13

Observation 243ac392-65e0-4ba9-8c34-12b6fa513ccf · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.855743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:8a54ee645e20649f975ddf69cd8ef8779e68042b69dc6cedde7e6aec687d3d49

Observation de5f6743-135e-4b2b-82f4-f094ef203dac · outbound

This paper cites Shapiro, Weak cartesian properties of simplicial sets, J.

The decomposition space perspective Shapiro, Weak cartesian properties of simplicial sets, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.882137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:e538adbb6eda21b131a7bc694c96cb54053f4866f2e317eea262104bbe1b6c34

Observation 68614303-357a-4c8b-b9b2-d52fdcbf6a07 · outbound

This paper cites Stern, Frobenius and commutative pseu- domonoids in the bicategory of spans , J.

The decomposition space perspective Stern, Frobenius and commutative pseu- domonoids in the bicategory of spans , J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.887244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:cda314f4058ad3d6ee3a3d09e0e936428fd8a871ff5a334f2ff3c07f9f5124ff

Observation 142d4a61-d800-43ff-9140-58f0434dc7c3 · outbound

This paper cites Hall algebras via 2-Segal spaces.

The decomposition space perspective Hall algebras via 2-Segal spaces

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.629445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:b18955d23a624e8144d1a8f5e655fe0d5b9006f9a93a6649de4e996c232f368d

Observation 127b92a3-616c-47d5-a722-3e239bd4c373 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.844943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:8e370428e33a5f11ddf54ca6c99b87de92bf0b35f0b229b2b6f710fe36e27a94

Observation 3fe09f3b-445e-4e2e-986c-d84c873ff460 · outbound

This paper cites 2244, Springer, Cham.

The decomposition space perspective 2244, Springer, Cham

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.831701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:0a814c093a0ccba44d20620e4ea7ed234a2bd184016ec972c1d67a0de0c4152d

Observation ec1c3268-ad66-416e-aa65-e8539fea9b88 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.841517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:41d5f7edcec8a9661ad209425c32a76e8d8df165270ad211b30abdddd065879f

Observation e261aec4-780e-4bbb-b5b6-2153057cba39 · outbound

This paper cites Proulx, and Mark Weber, Every 2-Segal space is unital , Commun.

The decomposition space perspective Proulx, and Mark Weber, Every 2-Segal space is unital , Commun

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.808037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:9853af19d29f14b2d466ae197381b36be081a9a481bd4edeefe764b71c0f0fe8

Observation adcd6ea2-8c9a-42b6-b4f4-08c85841307b · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.814796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:f76b386b05c86f328cd18c72d13d0ad9d4ba7646f5dc0b8510da4e119ee6e139

Observation eec5acc9-2917-475f-8924-47a386b85048 · outbound

This paper cites Decomposition spaces in Combinatorics.

The decomposition space perspective Decomposition spaces in Combinatorics

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.587404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:b8441c2556e17e6364d85e9c1642610f2ca359607b2ab7057ef2dbf4d1006dc8

Observation de3c5106-2394-4b71-9dcd-451bac6535f0 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.828377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:780753d640188fd8baf987ee98bd49159dd9ba69bae78faeffcc96f5d3ba5b71

Observation 4f729eaa-bdbe-45c1-b53a-1cb84d81db3a · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.834936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:1af56b7dca3e51a1c82e802a203616df8c0170cc2ac7065b59161d322104b4c8

Observation b2cca9a0-7e5d-4988-adc4-8bb093c30686 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.825069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:97a082287a14ed782f9751d40d8753b200b8556e4a31554fa5c3f5c068503a62

Observation 86700064-fc3e-4e21-a9db-451f21cab3d1 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.821516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:9e351e3eac41e30b301a7365f9ce2dbd6042a6cdbded0bca2bba105335dd5123

Observation 220162f5-182b-4db8-bd47-5829f2b68c52 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.838379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:fafe4c446dd45f3feb41f31e4e16621eeab13ff1792d5dc23227f53e0c3edba4

Observation 8b047d89-228c-4242-bc7e-d0f5bc164a64 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.811458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:fe612990c128ce760027edd77f85e766ee2a20421d69890c3d827ea248ead5a9

Observation cad4530b-b22a-4232-ad60-a6f0180ad6c7 · outbound

This paper cites Pure Appl.

The decomposition space perspective Pure Appl

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.804535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:1e849c586cc3903ca16dd43bd0fd4671367307285282384276c3ea334bf798b6

Observation a0a38d05-f278-424e-bf54-c8eafe391d2b · outbound

This paper cites G¨ odicke.

The decomposition space perspective G¨ odicke

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.618048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:71134f029f452b54da2051a65c9c806b5e8d4a356c13c1d26b19f96b04c961b1

Observation 7f8b650c-f92f-47eb-8dcf-d16254fe2e20 · outbound

This paper cites Operadic categories and 2-Segal sets.

The decomposition space perspective Operadic categories and 2-Segal sets

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.612053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:05dbe74aed48248b83b37822ebad35134ae86e0790d0f28b54eebdb00ff90f1c

Observation 48768f49-45d9-469d-8c76-41263693384f · outbound

This paper cites Math., vol.

The decomposition space perspective Math., vol

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.818165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:2452c9a5614efc4007806b171f8eaea61d168905380f8962cefddaa172acfbbe

Observation e1ca0545-41f6-45d8-8f9f-571a07aaa1f4 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-23T21:28:27.581522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:d2bb8d9fadbb628bc12a051277ce881f9f93c975a316aba07278e0831f2ca5e6

Observation e351a4f9-a9b0-4577-8636-918f1687e1b0 · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 35

Resolution
verified exact
doi, observed 2026-05-23T21:28:27.430847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:2864146d003330e9d5350e1b34930c3c8357670e2b6d8d0e361fbdbb194e8d0f

Observation 146aecc6-34d3-40af-9c60-bed09e1748da · outbound

This paper cites Spivak, Decomposition-space slices are toposes, Proc.

The decomposition space perspective Spivak, Decomposition-space slices are toposes, Proc

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.922462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:31b70ab4600a6a1a3804f81680d8befd2788d022cd7db82eb667189038683e87

Observation 9296a2b2-5e8b-4114-89b7-6ab3f70ba868 · outbound

This paper cites 170, Princeton University Press, Princeton, NJ.

The decomposition space perspective 170, Princeton University Press, Princeton, NJ

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T21:28:28.925575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-23T21:26:08.878214Z digest=sha256:4dd1ee02571bce7aea6607935280c227ec8e53a94421c827b1568511065bc601

Observation 151a98c1-8ca5-47c0-9140-e44387ae023f · outbound

This paper cites an unresolved cited work.

The decomposition space perspective Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-05-23T21:28:28.932145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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This paper cites 5, Springer-Verlag, New York.

The decomposition space perspective 5, Springer-Verlag, New York

Reference 39

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The decomposition space perspective Unresolved cited work

Reference 40

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This paper cites Higher Segal structures in algebraic $K$-theory.

The decomposition space perspective Higher Segal structures in algebraic $K$-theory

Reference 41

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Reference 42

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Reference 43

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Reference 44

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The decomposition space perspective MR 353298

Reference 45

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This paper cites Stern, Perspectives on the 2-Segal conditions , this volume.

The decomposition space perspective Stern, Perspectives on the 2-Segal conditions , this volume

Reference 46

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This paper cites 1, Elsevier/North-Holland, Amsterdam, 1996, pp.

The decomposition space perspective 1, Elsevier/North-Holland, Amsterdam, 1996, pp

Reference 47

Resolution
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Combinatorial examples and applications of 2-Segal sets cites this paper.

Combinatorial examples and applications of 2-Segal sets The decomposition space perspective

Reference 8

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Higher Segal spaces and partial groups cites this paper.

Higher Segal spaces and partial groups The decomposition space perspective

Reference 25

Resolution
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